Cuboid to cube

A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.

Correct result:

S =  486 cm2

Solution:

a=9 cm b=6 cm c=4 cm  V=a⋅ b⋅ c=9⋅ 6⋅ 4=216 cm3  V=x3  x=V3=2163=6 cm  S=6⋅ a2=6⋅ 92=486 cm2a=9 \ \text{cm} \ \\ b=6 \ \text{cm} \ \\ c=4 \ \text{cm} \ \\ \ \\ V=a \cdot \ b \cdot \ c=9 \cdot \ 6 \cdot \ 4=216 \ \text{cm}^3 \ \\ \ \\ V=x^3 \ \\ \ \\ x=\sqrt[3]{ V}=\sqrt[3]{ 216 }=6 \ \text{cm} \ \\ \ \\ S=6 \cdot \ a^2=6 \cdot \ 9^2=486 \ \text{cm}^2

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